73449471755520 has 864 divisors, whose sum is σ = 301435439655168. Its totient is φ = 16774668877824.

The previous prime is 73449471755507. The next prime is 73449471755521. The reversal of 73449471755520 is 2555717494437.

It is a happy number.

73449471755520 is a `hidden beast` number, since 7 + 3 + 4 + 4 + 9 + 4 + 7 + 1 + 75 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73449471755521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2780373352 + ... + 2780399768.

It is an arithmetic number, because the mean of its divisors is an integer number (348883610712).

Almost surely, 2^{73449471755520} is an apocalyptic number.

73449471755520 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73449471755520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150717719827584).

73449471755520 is an abundant number, since it is smaller than the sum of its proper divisors (227985967899648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73449471755520 is a wasteful number, since it uses less digits than its factorization.

73449471755520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27737 (or 27711 counting only the distinct ones).

The product of its (nonzero) digits is 148176000, while the sum is 63.

The spelling of 73449471755520 in words is "seventy-three trillion, four hundred forty-nine billion, four hundred seventy-one million, seven hundred fifty-five thousand, five hundred twenty".